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{{Infobox ET}}
'''23EDT''' is the [[Edt|equal division of the third harmonic]] into 23 parts of 82.6937 [[cent|cents]] each, corresponding to 14.5114 [[edo]] (similar to every second step of [[29edo]]).
'''23EDT''' is the [[Edt|equal division of the third harmonic]] into 23 parts of 82.6937 [[cent|cents]] each, corresponding to 14.5114 [[edo]] (similar to every second step of [[29edo]]).


== Intervals ==
{| class="wikitable"
{| class="wikitable"
|-
|-
! | degree
! | degree
! | cents value
! | cents value
! | corresponding <br>JI intervals
!hekts
! | corresponding JI intervals
! | comments
! | comments
|-
|-
| | 0
! colspan="3" | 0
| | 0.0000
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
| |  
| |  
Line 15: Line 17:
| | 1
| | 1
| | 82.6937
| | 82.6937
|56.522
| | 150/143
| | 150/143
| |  
| |  
Line 20: Line 23:
| | 2
| | 2
| | 165.3874
| | 165.3874
|113.0435
| | [[11/10]]
| | [[11/10]]
| |  
| |  
Line 25: Line 29:
| | 3
| | 3
| | 248.0811
| | 248.0811
|169.565
| | [[15/13]]
| | [[15/13]]
| |  
| |  
Line 30: Line 35:
| | 4
| | 4
| | 330.7748
| | 330.7748
|226.087
| | 23/19
| | 23/19
| |  
| |  
Line 35: Line 41:
| | 5
| | 5
| | 413.4685
| | 413.4685
|282.609
| | 33/26, 80/63
| | 33/26, 80/63
| |  
| |  
Line 40: Line 47:
| | 6
| | 6
| | 496.1622
| | 496.1622
|339.13
| | ([[4/3]])
| | ([[4/3]])
| |  
| |  
Line 45: Line 53:
| | 7
| | 7
| | 578.8559
| | 578.8559
|395.652
| | 88/63, 95/68
| | 88/63, 95/68
| |  
| |pseudo-[[7/5]]
|-
|-
| | 8
| | 8
| | 661.5496
| | 661.5496
| |  
|452.174
| |63/43
| |  
| |  
|-
|-
| | 9
| | 9
| | 744.2433
| | 744.2433
| |  
|508.696
| |135/88
| |  
| |  
|-
|-
| | 10
| | 10
| | 826.9370
| | 826.937
| |  
|565.217
| | 50/31, 408/253, 129/80, 108/67
| |  
| |  
|-
|-
| | 11
| | 11
| | 909.6307
| | 909.6307
| |  
|621.739
| |  
| |(27/16)
| | pseudo-[[5/3]]
|-
|-
| | 12
| | 12
| | 992.3243
| | 992.3243
| |  
|678.261
| |(16/9)
| |  
| |  
|-
|-
| | 13
| | 13
| | 1075.0180
| | 1075.018
| |  
|734.783
| | 93/50, 253/136, 80/43, 67/36
| |  
| |  
|-
|-
| | 14
| | 14
| | 1157.7117
| | 1157.7117
| |  
|791.304
| |88/45
| |  
| |  
|-
|-
| | 15
| | 15
| | 1240.4054
| | 1240.4054
| |  
|847.826
| |43/21
| |  
| |  
|-
|-
| | 16
| | 16
| | 1323.0991
| | 1323.0991
| |  
|904.348
| |189/88, 204/95
| |  
| |  
|-
|-
| | 17
| | 17
| | 1405.7928
| | 1405.7928
|960.87
| | ([[9/4]])
| | ([[9/4]])
| |  
| |  
Line 100: Line 119:
| | 18
| | 18
| | 1488.4865
| | 1488.4865
| | [[13/11|26/11]]
|1017.391
| |  
| | [[13/11|26/11]], 189/80
| | pseudo-[[7/3]]
|-
|-
| | 19
| | 19
| | 1571.1802
| | 1571.1802
|1073.913
| | 57/23
| | 57/23
| |  
| |  
Line 110: Line 131:
| | 20
| | 20
| | 1653.8739
| | 1653.8739
|1130.435.
| | [[13/5]]
| | [[13/5]]
| |  
| |  
Line 115: Line 137:
| | 21
| | 21
| | 1736.5676
| | 1736.5676
|1186.9565
| | [[15/11|30/11]]
| | [[15/11|30/11]]
| |  
| |  
Line 120: Line 143:
| | 22
| | 22
| | 1819.2613
| | 1819.2613
|1243.478
| | 143/50
| | 143/50
| |  
| |  
Line 125: Line 149:
| | 23
| | 23
| | 1901.9550
| | 1901.9550
|1300
| | '''exact [[3/1]]'''
| | '''exact [[3/1]]'''
| | [[3/2|just perfect fifth]] plus an octave
| | [[3/2|just perfect fifth]] plus an octave
|}
|}


[[Category:Edt]]
== Harmonics ==
[[Category:Edonoi]]
{{Harmonics in equal
| steps = 23
| num = 3
| denom = 1
| intervals = integer
}}
{{Harmonics in equal
| steps = 23
| num = 3
| denom = 1
| start = 12
| collapsed = 1
| intervals = integer
}}
 
 
{{stub}}
Retrieved from "https://en.xen.wiki/w/23edt"